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Finding the Fourth Proportional to 595.23, 821.40 and 329.66

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Solution

The fourth proportional to 595.23, 821.40 and 329.66 is: 454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.23 : 821.40 = 329.66 : x
  2. Step 2: Convert to fraction form
    595.23/821.40 = 329.66/x
  3. Step 3: Cross multiply
    595.23x = 821.40 × 329.66
  4. Step 4: Simplify right side
    595.23x = 270,778.62
  5. Step 5: Solve for x
    x = 270,778.62/595.23
  6. Step 6: Final answer
    x = 454.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.